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23154444445132 = 22711135782828283
BaseRepresentation
bin1010100001111000100000…
…11011111010010111001100
310000222112200001012111112101
411100330100123322113030
511013330300234221012
6121125001022044444
74606565501266150
oct520742033722714
9100875601174471
1023154444445132
117417821288310
12271b5a0719724
13cbc5bb0b7c80
145a0976cad060
152a2478471d57
hex150f106fa5cc

23154444445132 has 48 divisors (see below), whose sum is σ = 54404848495872. Its totient is φ = 8327272726080.

The previous prime is 23154444445129. The next prime is 23154444445141.

23154444445132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231544444451322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891410138 + ... + 2891418145.

It is an arithmetic number, because the mean of its divisors is an integer number (1133434343664).

Almost surely, 223154444445132 is an apocalyptic number.

23154444445132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23154444445132 is an abundant number, since it is smaller than the sum of its proper divisors (31250404050740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23154444445132 is a wasteful number, since it uses less digits than its factorization.

23154444445132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782828318 (or 5782828316 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 23154444445132 in words is "twenty-three trillion, one hundred fifty-four billion, four hundred forty-four million, four hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5782828283 11565656566 23131313132 40479797981 63611111113 75176767679 80959595962 127222222226 150353535358 161919191924 254444444452 300707070716 445277777791 526237373753 826944444469 890555555582 1052474747506 1653888888938 1781111111164 2104949495012 3307777777876 5788611111283 11577222222566 23154444445132